If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (9x + 4)(9x + 4) = 32 Reorder the terms: (4 + 9x)(9x + 4) = 32 Reorder the terms: (4 + 9x)(4 + 9x) = 32 Multiply (4 + 9x) * (4 + 9x) (4(4 + 9x) + 9x * (4 + 9x)) = 32 ((4 * 4 + 9x * 4) + 9x * (4 + 9x)) = 32 ((16 + 36x) + 9x * (4 + 9x)) = 32 (16 + 36x + (4 * 9x + 9x * 9x)) = 32 (16 + 36x + (36x + 81x2)) = 32 Combine like terms: 36x + 36x = 72x (16 + 72x + 81x2) = 32 Solving 16 + 72x + 81x2 = 32 Solving for variable 'x'. Reorder the terms: 16 + -32 + 72x + 81x2 = 32 + -32 Combine like terms: 16 + -32 = -16 -16 + 72x + 81x2 = 32 + -32 Combine like terms: 32 + -32 = 0 -16 + 72x + 81x2 = 0 Begin completing the square. Divide all terms by 81 the coefficient of the squared term: Divide each side by '81'. -0.1975308642 + 0.8888888889x + x2 = 0 Move the constant term to the right: Add '0.1975308642' to each side of the equation. -0.1975308642 + 0.8888888889x + 0.1975308642 + x2 = 0 + 0.1975308642 Reorder the terms: -0.1975308642 + 0.1975308642 + 0.8888888889x + x2 = 0 + 0.1975308642 Combine like terms: -0.1975308642 + 0.1975308642 = 0.0000000000 0.0000000000 + 0.8888888889x + x2 = 0 + 0.1975308642 0.8888888889x + x2 = 0 + 0.1975308642 Combine like terms: 0 + 0.1975308642 = 0.1975308642 0.8888888889x + x2 = 0.1975308642 The x term is 0.8888888889x. Take half its coefficient (0.4444444445). Square it (0.1975308642) and add it to both sides. Add '0.1975308642' to each side of the equation. 0.8888888889x + 0.1975308642 + x2 = 0.1975308642 + 0.1975308642 Reorder the terms: 0.1975308642 + 0.8888888889x + x2 = 0.1975308642 + 0.1975308642 Combine like terms: 0.1975308642 + 0.1975308642 = 0.3950617284 0.1975308642 + 0.8888888889x + x2 = 0.3950617284 Factor a perfect square on the left side: (x + 0.4444444445)(x + 0.4444444445) = 0.3950617284 Calculate the square root of the right side: 0.628539361 Break this problem into two subproblems by setting (x + 0.4444444445) equal to 0.628539361 and -0.628539361.Subproblem 1
x + 0.4444444445 = 0.628539361 Simplifying x + 0.4444444445 = 0.628539361 Reorder the terms: 0.4444444445 + x = 0.628539361 Solving 0.4444444445 + x = 0.628539361 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4444444445' to each side of the equation. 0.4444444445 + -0.4444444445 + x = 0.628539361 + -0.4444444445 Combine like terms: 0.4444444445 + -0.4444444445 = 0.0000000000 0.0000000000 + x = 0.628539361 + -0.4444444445 x = 0.628539361 + -0.4444444445 Combine like terms: 0.628539361 + -0.4444444445 = 0.1840949165 x = 0.1840949165 Simplifying x = 0.1840949165Subproblem 2
x + 0.4444444445 = -0.628539361 Simplifying x + 0.4444444445 = -0.628539361 Reorder the terms: 0.4444444445 + x = -0.628539361 Solving 0.4444444445 + x = -0.628539361 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4444444445' to each side of the equation. 0.4444444445 + -0.4444444445 + x = -0.628539361 + -0.4444444445 Combine like terms: 0.4444444445 + -0.4444444445 = 0.0000000000 0.0000000000 + x = -0.628539361 + -0.4444444445 x = -0.628539361 + -0.4444444445 Combine like terms: -0.628539361 + -0.4444444445 = -1.0729838055 x = -1.0729838055 Simplifying x = -1.0729838055Solution
The solution to the problem is based on the solutions from the subproblems. x = {0.1840949165, -1.0729838055}
| 4m-3=3+m | | =(2x+3y)(3x-y)(-4x+y) | | (2x+3y)(3x-y)(-4x+y)= | | 0.3(2x-1)-2.3=0.04(x+4) | | 48+7*x=10x-4 | | 12=4(w-13)-8 | | gal=20 | | .1(x)+.07(170000-x)=1475 | | -5+16x+5x*x=10x+15 | | gal=20l | | x*0.6=x-50 | | 2(v+5)-10=10 | | 4x+8-x-3=23 | | 3(k+4)-9=9 | | x-(x/0.6)=50/0.6 | | 2(2x-4)=6(x-2) | | 40+7*x=10x-4 | | 2(2x-4)=6(x-4) | | 1=j-6/2 | | 2(w-7)-2=2 | | g-10/-3=0 | | 20r+5s-7r+9s= | | 54p=27 | | 56=8(x) | | 3(g-7)+2=5 | | 3(2x+5)=3x+4y | | 4p-27/3=2 | | -4(t-11)=-16 | | .1(4)+x=.4(x+4) | | 3(x+6)=2(x+3) | | (4a-5)(5a-2)=0 | | 0.4x+2.4=1.2-3.2x |